Let X1, X2,...,Xn be a time-homogeneous {0, 1}-valued Markov chain. Let Y = (Y1,...,Yr) denote the r-dimensional random vector, where Yi(i = l,...,r) represents the number of success runs of length ki(i = 1,...,r), k = (kl,...,kr). In this paper we obtain exact and recurrence formulae for the...

Given sequences of finite-state trials, an almost perfect match means that there exists at least k-1 matches between any subsequences of size k in each sequence. Let X1,X2,... be a sequence of {0,1}-valued Markov dependent random variables each resulting in either a match (Xi=1) or mismatch...

The cycle frosting and defrosting performance of two types of microchannel heat exchangers were investigated. All the processes were observed using a CCD camera to better understand the cycle frost mechanism. Ice blockage formed in the fin root gaps of the horizontal-tube sample because of water...

This article offers an overview of the development of dairy cow breeding in China, and analyzes the problems in the development of dairy cow breeding in China as follows: the breeding scale is small; the pasture grass production cannot meet demand; the proportion of fine breed is not high and the...